On the continuous series for affine sl(2,R)
Representation Theory
2014-03-11 v3 High Energy Physics - Theory
Quantum Algebra
Abstract
We construct the representations of affine sl(2,R) starting from the unitary representations of the loop ax+b-group. Our approach involves a combinatorial analysis of the correlation functions of the generators and renormalization of the appearing divergencies. We view our construction as a step towards a realization of the principal series representations of affine sl(2,R).
Keywords
Cite
@article{arxiv.1210.2135,
title = {On the continuous series for affine sl(2,R)},
author = {Igor B. Frenkel and Anton M. Zeitlin},
journal= {arXiv preprint arXiv:1210.2135},
year = {2014}
}
Comments
21 pages, v3: minor corrections